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Part A: The federal government has recently proposed that all students who attend primary school will have to participate in a competitive sport of some
Part A: The federal government has recently proposed that all students who attend primary school will have to participate in a competitive sport of some kind. In order to estimate the proportion of people likely to agree with this proposal, 800 registered voters were selected randomly and asked the question "Do you think children attending primary school should be made to participate in a competitive sport?" 459 responded affirmatively. A confidence interval for the data collected is presented below. Using plain language and with respect to the data collected, interpret the confidence interval presented in the table above. Interval Lower Limit 53.95% Interval Upper Limit 60.80% Part B: In order to better understand if most voters (more than 50% of them) agreed with the proposal, a hypothesis test was conducted on this same data. The output from the hypothesis test is included in the table below. Write down the null and alternative hypotheses in words. Interval Upper Limit 60.80% Interval Lower Limit 53.95% Part B: In order to better understand if most voters (more than 50% of them) agreed with the proposal, a hypothesis test was conducted on this same data. The output from the hypothesis test is included in the table below. Write down the null and alternative hypotheses in words. Sample Size 800 Count of 'Successes' 459 Sample proportion 57.4% 2 Sample Statistics (test statistics) Answer PartA (4 marks) in the box below
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